Environmental Engineering

Educational objectives

Basics in linear algebra and geometry. Linear systems and their geometrical interpretation for 2 or 3 unknowns. Familiarity with rigorous reasoning, with numerical and symbolic calculus, with the analysis of problems using an optimal strategy. Familiarity with vectors and matrices, and with geometrical entities in 2 or 3 dimensions in connection with equations of degree 1 or 2. Understanding of linear applications and, in particular, of diagonalisation.
Learning outcomes: constant learning as the course goes on is expected; learning will be increased by tutorials and tests. Minor difficulties can be solved also by an email contact. Although the beginning may be difficult, mostly due to faults in the mathematical background, after the first impact - in several cases after the first or second written examination - one expects a neat improvement.
During the course the student will be encouraged to carefully study the details of every single proof seen during classes. The oral examination will have average duration of 40 minutes, during which the student will prove to be able to express scientific statements in a correct and formal way and to prove them. Every week the student will be asked to solve 10 exercises to be discussed during class next week. The solution of the exercises is encouraged to be done in small groups. The objective of this is to stimulate the capacity of the student to interact with colleagues. The solutions of the exercise sheet is encouraged to be written by each student separately. This will improve the capacity of a self analysis. During the course the student will earn knowledge of MATLAB as a software to solve problem of linear algebra and geometry of computational nature. It is worth notice that the use of MATLAB will be free for the students of La Sapienza, due to the license CAMPUS. Every student can benefit of the possibility to meet the teacher alone every week. The weekly exercise sections provided by a tutor (who is different from the teacher) will increase the capacity of the students to solve the exercises. The course will focus on the applications of linear algebra to engineering problems.

Educational objectives

Obiettivi formativi (Inglese): Aim of this module is the achievement, by the students, of the basic means of Mathematical Analysis related to the study of functions of one real variable and their use for the solution of problems in Applied Mathematics, and in particular of Physical and Engineering problems. Special emphasis is devoted to qualitative study and approximate solution of these problems, by virtue of asymptotical techniques, Taylor polynomials etc.
Risultati di apprendimento attesi (Inglese): Successful students will be able to study the behavior of numerical sequences and series; to sketch the complete graph of a function of one variable; to develop the Taylor (or MacLaurin) polynomials of functions of one variable; to study the asymptotical behavior of a function when the independent variable approaches infinity or singularities or zeros; to solve optimization problems in one variable, on bounded and unbounded intervals; to solve definite, indefinite and improper integrals; to solve some kinds of ordinary differential equations, characterizing several Physics and Engineering problems.

Educational objectives

This laboratory provides students with the theoretical knowledge and operational tools of graphic representation methods generally used in civil and environmental engineering. The knowledge learned and the skills developed during the course will allow students to gain maturity and autonomy in the analysis and interpretation of technical representations and related graphics, introducing them to appropriate computer-assisted technical drawing graphic tools (CAD, Computer Aided Design).

Educational objectives

The aim is to promote a Catch-up course in mathematics: we will introduce the formal language necessary to tackle the first semester course in mathematical analysis. In particular, we review notations and results from high school mathematics, which are then supposed to be "known" in the first semester.

Educational objectives

Grammatical and syntactical structures of technical English with exercises on scientific texts related to the profession. Review of and comprehension of scientific articles.
The course aims to develop skills relating to understanding texts written in specialist English for the environmental sector, according to level B2 of the CEFR.

Educational objectives

The Chemistry course has an irreplaceable educational importance for all the Faculties with Scientific or Technical address.
The goal that arises in this course is to explain the topics of general chemistry, both in experimental and theoretical aspects, along with the fundamentals of inorganic chemistry and some mention of organic chemistry. It will also be emphasized the importance of updating scientific knowledge, a direct consequence of the continuous progress made in technical matters.

Educational objectives

This course first illustrates the fundamental principles of classical mechanics, the concepts of force, work and energy, and then the first and second law of tghermodynamics (i.e. the general principles concerning energy conservation, and system evolution, respectively). The student will be introduced to the scientific method, in particular to modelling required to solve simple problems.risultati attesi: At the end of the course, the student should know the principles of classical mechanics and thermodynamics, and the concepts of force, work, energy and potential. It should be able to employ them to solve problems of moderate complexity

Educational objectives

Aim of this course is to learn the basic ideas and techniques of integral calculus in 2 or 3 variables, Fourier series and partial differential equations. With a practical approach, the students can develop those basic skills that are fundamental for the comprehension of more advanced courses in Physics and Engineering. The objective is pursued by means of classical frontal lessons where the students are encouraged to an active attendance.

1) Knowledge and understanding: To know the basic ideas of Mathematical analysis in several real variables, with emphasis on logical reasoning, on text comprehension, and to the achievement of those skills necessary in order to solve concrete problems.
2) Applying knowledge and understanding: To use the learned tools to solve problems in Mathematical Analysis and discuss concrete examples; to develop those skills that are necessary in order to apply Mathematical Analysis to the solution of scientific and engineering problems.
3) Making judgement: To decide the most appropriate approach to solve a specific problem; to classify those mathematical problems usually faced in pure and applied science.
4) Communication skill: To learn to describe the solution of a mathematical problem, pointing which techniques can be used, justifying the intermediate steps and underlining the logical reasonings.
5) Learning skill: To develop the necessary skills to learn Mathematical Analysis with the objective that the student can face most advanced courses.

Educational objectives

Acquire an in-dept
knowledge of the electromagnetic interaction, of the forces between charges, of
the formal treatment of the fields and of their mutual induction. Study the
electrical and the magnetic nature of the matter, know the electromagnetic
nature of the light and the basilar treatment
of the physical optic

Educational objectives

The course provides the theoretical basis of structural engineering by illustrating
theoretical models and practical tools for the analysis of structural systems (mainly those
composed by beams), and examining their equilibrium, compatibility, strength and stability.
The topics dealt with contribute to form the necessary knowledge to identify, formulate and
solve the structural problems of the building design, and to understand the technical
language of structural engineering.

The students shall be able to analyze and solve simple structural patterns, such as
statically determinate and indeterminate systems of beams and trusses, by evaluating their
states of stress and deformation and carrying out the safety check of the cross sections.
Moreover they shall know the basics of continuum mechanics. In making judgements, the
students will acquire: 1.1 ability to choose the most appropriate theoretical models (rigid
body, elastic beam, deformable body) to address the analysis of real structures; 1.2 ability
to design and perform numerical analyses on basic structural problems, to interpret data
and draw conclusions; 1.3 Understanding the main structural analysis techniques and their
limits. In learning skills, the students will acquire: 2.1 ability to properly identify, formalize
and solve the structural problems; 2.2 ability to understand the technical terms used in
structural engineering; 2.3 skills needed to undertake further advanced courses on
structural engineering.

Educational objectives

The Applied Geology lecture aims to give in-depth knowledge in various Earth Sciences fields to
apply the acquired notions to technical-scientific practice problems. This course aims to provide the
necessary knowledge to identify, reflect, characterize and analyze issues related to the study of
rocks (in their geological meaning) and related rock formations. All that is in relation to their
genesis, their evolutionary path and their interaction with regional and local engineering problems.
The course will cover introductory topics about basic geology, sedimentology, mineralogy and
petrography with particular regard to crystallization pathways, properties and classification of
minerals and related rock aggregates. This subject will also concern the study of chemical-physical
weathering phenomena and lithologies coming from that. The student will be led to the study of
rock mechanics by the analysis of the stress field and therefore to the failure conditions and the
resulting brittle and ductile-brittle structural elements. At the end of the course, the student will be
able to recognize and classify rock masses and define the level of fracturing in relation to the
recognition of the characteristics and physical-mechanical properties required by the various
quantitative and qualitative-quantitative classification methods. The student will acquire notions for
the three-dimensional management of geological-structural elements acquiring skills in representing
and analyzing projected azimuth data. The student will know some techniques for defining
geological and geological-technical data both through in situ and laboratory tests. Particular
attention will be given to the knowledge and interpretation of geological maps, to the recognition of
the various Units and the various geological-structural and geomorphological shapes. The student
will be able to carry out the subsoil representations of different geological contexts with different
degrees of complexity. The student will be provided with the basic elements aimed at the study of
hydrogeology about the hydrogeological cycle, the classification of aquifers and springs and the
reconstruction of the water table surface. The student will also have basic notions about problems
related to geo-hazard, such as seismic and hydrogeological hazards.

Educational objectives

The course aims at providing an exhaustive scientific framework of the current global environmental issues, of the cultural and scientific assumption at their basis and of the possible solutions for a development that doesn’t damage environment. The main goal is to enrich the classical engineers’ technical background through critical tools capable of preventing further environmental conflict. The theme of sustainability is complex and highly articulated. Therefore it is addressed through an interdisciplinary approach that is potentially able to interweave environmental and social dimensions.

1. Knowledge and understanding: students will learn to reflectively study the socio-environmental interconnections that shape the ecological crisis. The knowledge of reflective-theoretical contents connected to sustainability will allow students to play a conscious role in the fields of environmental engineering and urban/regional planning.

2. Applying knowledge and understanding: students will learn how to apply the the acquired knowledge and skills in a competent and reflective way in order to address the complexity of environmental issues. This capability will be performed in an experimental application connected to the analysis of a paradigmatic case study: the territory of Civita di Bagnoregio characterized by an extreme geomorphological fragility and by a wide range of socio-cultural critical dimensions. This is a territory where the theme of sustainability is a necessary paradigm that is potentially able to frame the necessary protection and governance policies.

3. Making judgements: the experimental application (territorial immersive research practices) will allow students to work in groups, putting theory and practice together, to stimulate autonomous judgment skill and to formulate final evaluations on the themes of their applicative work.

4. Communication skills: The learning collaborative practices are also aimed at stimulating communicative skills, both in relation with the territorial subjects (specialists and non specialists) involved in their field work and in the presentation of results of their researches.

5. Learning skills: students will develop transversal (theory and practice) and interdisciplinary learning skills that will help them to profoundly address sustainable development issues

Educational objectives

The course furnishes basic tools for the study of motion and forces in fluids.
A particular attention is devoted to hydraulic applications.

Students will be able to work efficiently both individually and within working groups, with a particular reference to group experiences in the laboratory of hydraulics and writing of reports about experimental activities.
At the end of the course students must evidence his learning ability: with reference to their ability in the application of the fluid mechanics laws to practical hydraulics problems and to their ability in making laboratory experiments.
Besides, they will acquire the awareness of needing an autonomous deepening for the solution of complex problems, which lie outside the basic course.

Educational objectives

The course is an introduction to the numerical methods used for the solution of some basic problems arising in applied sciences and engineering. The course serves as a link between the basic courses of Calculus I and II and Geometry, delivered at the first year of B.Sc. and the engineering courses delivered at the following years. The main focus of the course is in the study of the methods and their implementation in a numerical computing environment (Matlab or Python). To this end, the course will take place in two ways, lectures and lab exercises. During the lectures, the main features of numerical methods will be outlined. During lab exercises, algorithms will be coded and used to solve simple test problems.

1. Knowledge and understanding: To know and to have understood the basic concepts of numerical analysis and the main features of numerical methods used to solve problems arising in the applied sciences.
2. Applying knowledge and understanding: To learn how to translate a numerical method into an algorithm, to code it by Matlab or Python, to use the code to solve test problems.
3. Making judgments: To learn how to identify the correct numerical method to solve a given problem, to analyze its performance through numerical tests.
4. Communication skills: To explain basic mathematical concepts, to explain a code, to describe the results of numerical tests.
5. Learning skills: To use numerical methods; to code them by a programming language; to numerically solve an applied problems

Educational objectives

The aim is that of providing students with some fundamental probabilistic and
statistical notions, which are the basis of the logical-mathematical reasoning under
uncertainty, with incomplete information. This will stimulate those critical skills
which allow to face, besides "routine" problems, new problems too. In particular,
students should acquire some basic notions which concern conditional and
unconditional probabilities, discrete and continuous probability distributions,
and statistical inference. Basic notions and theoretical results on conditional and unconditional probabilities, prevision, variance, correlation coefficient, probability density, cumulative distribution function, joint, marginal and conditional distributions, characteristic function, basic notions on statistical inference. Students will improve their ability in the bibliographic research, in data analysis and the application of theoretical results with regards to engineering approach

Educational objectives

Provide the engineer the tools to design, build and maintain works, structures and infrastructures, taking due account of geotechnical problems and with knowledge that enable them to interact, with ease and competence, with specialists in the field.

Educational objectives

The expected general outcomes of the module involve providing the basics and the fundamental methods for the analysis, modelling, design and management of treatment processes for liquid and solid effluents.

Knowledge and understanding
After passing the exam, the students will acquire the following abilities (ref. to “knowledge and understanding … of the fundamentals of decontamination and effluent treatment processes – SUA document):
1. identifying potentially hazardous pollutants
2. identifying suitable treatment processes for the removal of selected contaminants from effluents
3. providing a theoretical description of such processes

Applied knowledge and understanding
After passing the exam, the students will acquire the following abilities:
4. predicting potential environmental effects of contaminants (ref. to the “ability to apply the acquired methods, tools and knowldge to analyze, appraise and solve specific problems in the field of environmental engineering” – SUA document)
5. drawing mass balances for the effluent treatment units (ref. to the ability to “manage systems and processes for environmental protection and remediation” – SUA document),
6. defining the intervention strategy/process layout for the remediation of contaminated environmental compartments (ref. to the ability to “manage systems and processes for environmental protection and remediation” – SUA document”),
7. deriving, using theoretical models, the removal yield of contaminants for individual treatment units (ref to the “ability to apply the acquired methods, tools and knowldge to analyze, appraise and solve specific problems in the field of environmental engineering” – SUA document)

Making judgement:
After passing the exam, the students will also acquire learning skills, with specific regard to the ability (ref. to the SUA document) “to use suitable methods to make surveys on technical aspects in environmental engineering at their level of knowledge and understanding.

Learning skills:
The participation to classroom exercises will contribute to building autonomous learning skills as for the most up-to-date methods, techniques and tools in the field of effluent treatment (ref. to the SUA document).

Educational objectives

The course is focused on providing the fundamentals of applied hydrology and hydrosystems engineering systems, with the aim to provide both conceptual models and practical operative procedures in order to understand the role of water fluxes at basin scale. The role and influence of hydrosystems systems are, also, illustrated.
Knowledge and understanding: after passing the exam, the students will be able to deal with issues related to hydrological cycle and to water fluxes at basin scale, with particular reference to impacts on the environment and the choice of needed hydraulic systems.
Applied Hydrology and Hydrosystems Engineering Fundamentals course has the intention to give both conceptual models and practical operative procedures in order to understand the role of water fluxes at basin scale. The role and influence of hydrosystems systems are, also, illustrated.

Applying knowledge and understanding: after passing the exam, the students will be able to undertake hydrologic and hydraulic design decisions with regard hydro-systems.
After passing the exam, the students will acquire the ability to make judgements with particular regard to “the evaluation of hydrological processes and water fluxes at basin scale, with particular reference to hydrologic and hydraulic design criteria for hydraulic systems”, also on complex systems/problems.
The above mentioned skills will contribute to building a backbone that will allow the students to get updated information in a continuous, autonomous and in-depth manner, concerning both their professional abilities and the emerging environmental issues.
Solving numerical and design exercises will also provide the students with a tool to acquire autonomous learning skills, also with specific regard to the ability to make judgement and critical assessment of the faced problems in case of shortage or lack of the relevant information.

Educational objectives

The final test requires the preparation of a technical report on topics related to the study program. An Evaluation Committee composed by at least seven members chairs the defence of the thesis by each student. On the basis of specific questions raised by the Committee each student is asked to discuss the main issues of concern.
The preparation of the final thesis allows the students to acquire:
- Skills in making judgements in critically processing theoretical information, experimental data and modelling results
- Communications skills in presenting and discussing the thesis in front of the Evaluation Committee